Hello,
We suppose the property true for n:
1²+2²+...+n²=n(n+1)(2n+1) / 6
and we are going to demonstrate that the property is true for n+1:
1²+2²+..+(n+1)²=(n+1)*(n+2)*(2n+3)/6
![1^2+2^2+...+n^2+(n+1)^2\\\\=n*(n+1)*(2n+1)/6+(n+1)^2\\\\=(n+1)/6*[n(2n+1)+6n+6]\\\\=(n+1)/6*(2n^2+7n+6)\\\\=(n+1)(n+2)(2n+3)/6\\](https://tex.z-dn.net/?f=1%5E2%2B2%5E2%2B...%2Bn%5E2%2B%28n%2B1%29%5E2%5C%5C%5C%5C%3Dn%2A%28n%2B1%29%2A%282n%2B1%29%2F6%2B%28n%2B1%29%5E2%5C%5C%5C%5C%3D%28n%2B1%29%2F6%2A%5Bn%282n%2B1%29%2B6n%2B6%5D%5C%5C%5C%5C%3D%28n%2B1%29%2F6%2A%282n%5E2%2B7n%2B6%29%5C%5C%5C%5C%3D%28n%2B1%29%28n%2B2%29%282n%2B3%29%2F6%5C%5C)
Answer:ab+ac+bc
Step-by-step explanation:
Answer:
huh thanks for the points ig :)
Step-by-step explanation:
Answer:
He lead the race for 1.5 miles
Step-by-step explanation:
4 tenths is equal to 4/10 = 0.4
0.4*2.5 miles = 1 mile
Lenox took the lead after the first mile of the race.
Se he lead the race for
2.5 miles - 1 mile = 1.5 miles
Which is equal to 60% of the whole trajectory.
Answer:
<h2>f(-2) = 13</h2>
Step-by-step explanation:
f(x) = x² - 2x + 5
Yo find f(-2) substitute the value of x that's - 2 into f(x) that is for every x in f (x) replace it with - 2
So we have
f( - 2) = (-2)² - 2(-2) + 5
= 4 + 4 + 5
= 8 + 5
We have the final answer as
<h3>f(-2) = 13</h3>
Hope this helps you
